A variable structure controller with a PI-type reaching law

PI 형 도갈법칙을 가지는 가변구조 제어

  • Chun, Kyung-Han (Dept.of Electronics Engineering, Graduate School of Kyungpook National University) ;
  • Lee, Yun-Jung (School of Electronic & Electrical Engineering, Kyungpook National University) ;
  • Choi, Bong-Yeol (School of Electronic & Electrical Engineering, Kyungpook National University)
  • 전경한 (경북대학교 대학원 전자공학과) ;
  • 이연정 (경북대학교 전자 전기공학부) ;
  • 최봉열 (경북대학교 전자 전기공학부)
  • Published : 1997.06.01

Abstract

We propose a VSC(Variable Structure Controller) with a PI-type reaching law. In General, conventional VSCs with a reaching law including a discontinuous term have the chattering problem, and thus the system may be unstable due to the disregarded high frequency dynamics in the modeling process. To resolve this problem, the PI-type reaching law is proposed in this paper. The proposed reaching law makes it easy to determine the reaching dynamics as well as the reaching time by utilizing the 2nd-order system analysis. Furthermore, since the discontinous term is not involved in the reaching law, the chattering is considerably reduced. To show the effectiveness of the proposed scheme, the stability of the proposed system is proved by Lyapunov method and the computer simulations are performed for the Ball Balance System.

Keywords

References

  1. IEEE Trans. Ind. Electron. v.40 no.1 Variable structure control: A survey J.Y. Hung;W.B. Gao;J.C. Hung
  2. IEEE Trans. Automat. Contr. v.22 no.2 Variable structure system with sliding modes V.I. Utkin
  3. Int. J. Contr. v.38 no.3 Analysis and design of variable structure systems using a geometric approach O.M.E. El-Ghezawi;A.S.I. Zinober;S.A. Billings
  4. Proc. IEEE v.76 no.3 Variable structure control of nonlinear multivariable systems:A tutorial R.A. Decardo;S.H. Zak;G.P. Natthews
  5. IEEE Trans. Ind. Electron. v.40 no.1 Variable structure control of nonlinear systems: A new approach W.B. Gao;J.C. Hung
  6. Int. J. Contr. v.46 no.3 Control of multivariable nonlinear systems by the sliding mode method R.B. Frenandez;J.K. Hedrick
  7. Automatic Control Engineering F.H. Raven